fix branch mess
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@ -367,7 +367,7 @@ is the correlation part of the self-energy $\Sig{}$, and
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Z_{p}^{\GW} = \qty( 1 - \left. \pdv{\SigGW{p}(\omega)}{\omega} \right|_{\omega = \e{p}} )^{-1}
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\end{equation}
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is the renormalization factor.
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In Eq.~\eqref{eq:SigGW}, $\Omega = \Delta\eGW{} + 2 \ERI{vc}{vc}$ is the sole (singlet) RPA excitation energy of the system, with $\Delta\eGW{} = \eGW{c} - \eGW{v}$.
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In Eq.~\eqref{eq:SigGW}, $\Omega = \Delta\e{} + 2 \ERI{vc}{cv}$ is the sole (singlet) RPA excitation energy of the system, with $\Delta\eGW{} = \eGW{c} - \eGW{v}$.
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Numerically, we get
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\begin{align}
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\Omega & = 2.769\,327
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